1. Multigrid in H(div) on axisymmetric domains.
- Author
-
Oh, Minah
- Abstract
In this paper, we will construct and analyze a multigrid algorithm that can be applied to weighted H (div) problems on a two-dimensional domain. These problems arise after performing a dimension reduction to a three-dimensional axisymmetric H (div) problem. We will use recently developed Fourier finite element spaces that can be applied to axisymmetric H (div) problems with general data. We prove that if the axisymmetric domain is convex, then the multigrid V-cycle with modern smoothers will converge uniformly with respect to the meshsize. [ABSTRACT FROM AUTHOR]
- Published
- 2020
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